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EJC
2008
15 years 2 hour ago
On digraph coloring problems and treewidth duality
It is known that every constraint-satisfaction problem (CSP) reduces, and is in fact polynomially equivalent, to a digraph coloring problem. By carefully analyzing the constructio...
Albert Atserias
117
Voted
EJC
2008
15 years 2 hour ago
On tension-continuous mappings
Tension-continuous (shortly TT) mappings are mappings between the edge sets of graphs. They generalize graph homomorphisms. From another perspective, tension-continuous mappings a...
Jaroslav Nesetril, Robert Sámal
EJC
2008
15 years 2 hour ago
Eriksson's numbers game and finite Coxeter groups
The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to i...
Robert G. Donnelly
EJC
2008
15 years 2 hour ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
EJC
2008
15 years 2 hour ago
Locally constrained graph homomorphisms and equitable partitions
We explore the connection between locally constrained graph homomorphisms and degree matrices arising from an equitable partition of a graph. We provide several equivalent charact...
Jirí Fiala, Daniël Paulusma, Jan Arne ...